Abstract
Many [Formula: see text]-linear relations exist between multiple zeta values, the most interesting of which are the weighted sum formulas. In this paper, we generalize these to Euler sums and Kaneko and Tsumura’s multiple [Formula: see text]-values, a variant of the multiple zeta values, by considering generating functions of the Euler sums. Through this approach, we are able to re-prove a few known formulas, confirm a conjecture of Kaneko and Tsumura on triple [Formula: see text]-values, and discover many new identities.
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